On symbol-pair weight distribution of MDS codes and simplex codes over finite fields
Symbol-pair code is a new coding framework proposed to combat pair-errors in symbol-pair read channels. Remarkably, a classical maximum distance separable (MDS) code is also an MDS symbol-pair code. In this paper, we investigate the symbol-pair weight distribution of MDS codes and the symbol b -weig...
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Veröffentlicht in: | Cryptography and communications 2021, Vol.13 (1), p.101-115 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | Symbol-pair code is a new coding framework proposed to combat pair-errors in symbol-pair read channels. Remarkably, a classical maximum distance separable (MDS) code is also an MDS symbol-pair code. In this paper, we investigate the symbol-pair weight distribution of MDS codes and the symbol
b
-weight distribution of simplex codes over finite fields respectively. Surprisingly, one can derive that all the nonzero codewords of simplex codes have the same symbol
b
-weight and rearrangement of coordinates in simplex codes may induce different symbol-pair weights. Moreover, the symbol
b
-weight distribution of variation simplex codes over certain finite fields is determined. |
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ISSN: | 1936-2447 1936-2455 |
DOI: | 10.1007/s12095-020-00455-x |